Pith Number

pith:VBYWX645

pith:2025:VBYWX6454DU6W4XZPIIAJMOCI3

not attested not anchored not stored refs pending

Global evidence for a consistent spatial footprint of intra-urban centers

Junlong Zhang, Lei Dong, Shuai Pang, Yu Liu

arxiv:2503.06445 v3 · 2025-03-09 · physics.soc-ph · cs.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBYWX6454DU6W4XZPIIAJMOCI3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-02T02:04:05.282534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8716bfb9de0e9eb72f97a1004b1c246e42829a5d9475c966e4e155aae2d3215

Aliases

arxiv: 2503.06445 · arxiv_version: 2503.06445v3 · doi: 10.48550/arxiv.2503.06445 · pith_short_12: VBYWX6454DU6 · pith_short_16: VBYWX6454DU6W4XZ · pith_short_8: VBYWX645

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VBYWX6454DU6W4XZPIIAJMOCI3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a8716bfb9de0e9eb72f97a1004b1c246e42829a5d9475c966e4e155aae2d3215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1fe4c8b7e83b5bf0b273436dd2d93f0a206bc2b45da88afccd86ce41fa1397",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-03-09T05:02:28Z",
    "title_canon_sha256": "15826e07e66502c1233e1598d7f6cbf12e4346fab8a442459f07bccb77a95cc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06445",
    "kind": "arxiv",
    "version": 3
  }
}